Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Nonnegative solutions of some quasilinear elliptic inequalities and applications

Journal Article · · Sbornik. Mathematics
 [1];  [2]
  1. Department of Mathematics, University of Bari, Bari (Italy)
  2. Department of Mathematics and Informatics, University of Trieste, Trieste (Italy)
Let f:R{yields}R be a continuous function. It is shown that under certain assumptions on f and A:R{yields}R{sub +} weak C{sup 1} solutions of the differential inequality -div(A(|{nabla}u|){nabla}u){>=}f(u) on R{sup N} are nonnegative. Some extensions of the result in the framework of subelliptic operators on Carnot groups are considered. Bibliography: 19 titles.
OSTI ID:
21418082
Journal Information:
Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 6 Vol. 201; ISSN 1064-5616
Country of Publication:
United States
Language:
English

Similar Records

A priori estimates, existence and non-existence for quasilinear cooperative elliptic systems
Journal Article · Wed Apr 30 00:00:00 EDT 2008 · Sbornik. Mathematics · OSTI ID:21096795

Several versions of the compensated compactness principle
Journal Article · Fri Sep 30 00:00:00 EDT 2011 · Sbornik. Mathematics · OSTI ID:21612604

Inhomogeneous critical nonlinear Schroedinger equations with a harmonic potential
Journal Article · Thu Apr 15 00:00:00 EDT 2010 · Journal of Mathematical Physics · OSTI ID:21335947